Find the area of the triangle.

A. 19.2 yd²
B. 9.3 yd²
C. 8.5 yd²
D. 17.1 yd²

Frequency distribution allows finding the occurrence of events: 12, 9, 0, 1

The frequency distribution is a grouping of data in exclusive categories, where the number of occurrences of each event is indicated

In this case the categories and their occurrences are

Categories              Occurrence       Frecuencie relative (%)

30,000 - 36,000          12                          54.5%

36000 - 42000             9                          40.9%

42000 - 48000             0                             0%

48000 - 54000              1                             4.5%

With these data, bar graphs can be built where the category is placed on the x-axis, an independent variable, and the occurrences on the y-axis, a dependent variable.

With these distributions, relative frequency is defined, which is the number of times a category appears among the total number of events.

         fr = occurrence /n

Where fr is the relative frequency and n is the number of events, sometimes it is given as a percentage by multiplying by one hundred

In this case the number of events is n = 22

Category 30000- 36000

           fr₁ = 12/22

           fr₁ = 0.5454

           fr₁% = 54.5%

Category 36000 - 42000

            fr₂ = 9/22

            fr₂ = 0.4090

            fr₂% = 40.9%

Category 42000-48000

            fr₃ = 0

            fr₃% = 0%

Category 48000 - 54000

             fr₄ = 1/22

             fr₄ = 0.04545

             fr₄% = 4.5%

The frequency distribution allows finding the occurrence of the events:

12, 9, 0, 1

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Answer:

5

Step-by-step explanation:

2(x+6)=22

(x+6)=11

x=5

Answer:

40,0000000000000000000

Answer:

3   9/10

Step-by-step explanation:

Answer:

A. 158

Step-by-step explanation:

Angle ABC and Angle ECF have the same tick mark(little line over the angle). The means they are congruent, the same. Since Angle ECF + Angle DCE = 180 degrees, 180 - 22 is the measure of angle DCE, or 158. You're welcome, and brainliest me.

Wanted to add that this is not at all college math. This like middle school lvl bro.

in this case, we are looking at a length × width equation. this equation gives you the area of the gym. so the answer is B.

Answer:

B

Step-by-step explanation:

L× w = area of a rectangle

Answer:

$79.50

Step-by-step explanation:

1. $350 + $210 + $100 + $294 = $954

2. $954 ÷ 12 = 79.50

Raul monthly expense is $79.50.

Here,

In filing his income​ tax, Raul reported annual contributions of ​$350 350 to a public radio​ station, ​$210 210 to a public tv​ station, ​$100 100 to a local food​ bank, and ​$294 294 to other charitable organizations.

We have to find Raul's monthly expense.

What is total amount?

A total is a whole or complete amount.

Now,

Raul's annual expense = $350 + $210 + $100 + $294

                                   = $954

Hence,

Raul's monthly expense =  954/12

                                     = 79.50

So, Raul monthly expense is $79.50.

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Answer:

51

Step-by-step explanation:

1 book= N8.50

therefore 6 books= N8.50 × 6 = N51

Step-by-step explanation:

steps are in the picture above.

I'm guessing you mean

[tex]\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx[/tex]

First, compute the quotient:

[tex]\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}[/tex]

Split up the remainder term into partial fractions. Notice that

x ² + 4x + 3 = (x + 3) (x + 1)

Then

[tex]\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52[/tex]

So the integral becomes

[tex]\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}[/tex]

We can simplify the result somewhat:

[tex]\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}[/tex]

Considering the values of each digit, the expressions that have the same values as 30,452 are given by:

C. 30,000 + 400 + 50 + 2.

D. thirty thousand, four hundred fifty-two

We start at the final digit, the unit digit, with value 1, and moving to left, each digit has a value multiplied by 10.

Hence, for number 30,452, we have that:

Hence the number, multiplying each digit by it's value, can be written as:

C. 30,000 + 400 + 50 + 2.

The number is also read as:

D. thirty thousand, four hundred fifty-two

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Answer:

[tex]\frac{3}{t^{4}}[/tex]

Step-by-step explanation:

x^-y=1/(x^y) so 3t^-4=3/(t^4)

[tex]\boxed{\sf \displaystyle{\lim_{x\to a}}(x^n)=a^n}[/tex]

[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}(\sqrt{3x}-\sqrt{x-5})[/tex]

[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}\sqrt{3x}-\displaystyle{\lim_{x\to \infty}}\sqrt{x-5}[/tex]

[tex]\\ \sf\longmapsto \infty^{\dfrac{1}{2}}-\sqrt{\infty-5}[/tex]

[tex]\\ \sf\longmapsto \infty-\sqrt{\infty}[/tex]

[tex]\\ \sf\longmapsto\infty-\infty[/tex]

[tex]\\ \sf\longmapsto\infty[/tex]

Let x be the variable, and the unknown that gives the number of games Dave's favorite team has won.

Let y be the variable that express the number of games Kimiko's favorite baseball team has won.

Since Dave's favorite baseball team has won 10 games less than Kimiko's favorite baseball team, we can express this situation this way :

Answer:

[tex]3456\; \rm cm^{2}[/tex].

Step-by-step explanation:

The diagram suggests that the length of a row of five cubes is [tex]40\; \rm cm[/tex]. Hence, the length of the edge of each cube would be:

[tex]\displaystyle \frac{40\; \rm cm }{5} = 8\; \rm cm[/tex].

That would correspond to an area of [tex](8\; \rm cm)^{2} = 64\; \rm cm^{2}[/tex] for each face of the cube.

Refer to the diagram attached.

Viewing from the front and from the rear each shows [tex]11[/tex] faces of the cubes.

Viewing from the top and from the bottom each shows [tex]10[/tex] faces of the cubes.

Viewing from the left and from the right each shows [tex]6[/tex] faces of the cubes.

When viewed from the six perspectives, [tex]2 \times 11 + 2 \times 10 + 2 \times 6 = 54[/tex] faces of the cubes are visible in total.

For this particular construction, all faces that need to be painted are visible when viewed from exactly one of the six perspectives: front, rear, top, right, left, right. Hence, Sam would need to paint [tex]54[/tex] of such [tex]64\; \rm cm^{2}[/tex] squares.

The area that Sam needs to paint would be [tex]54 \times (64\; \rm cm^{2}) = 3456\; \rm cm^{2}[/tex].

9514 1404 393

Answer:

  A. irrational only

Step-by-step explanation:

A decimal fraction is not a natural number or integer, so choices C and D can be eliminated immediately.

The decimal has a predictable pattern, but that pattern guarantees it does not repeat. A non-repeating, not-terminating decimal is an irrational number.

9514 1404 393

Answer:

  47°

Step-by-step explanation:

The law of sines helps you find angle T. From there, you can find angle S.

  sin(T)/t = sin(R)/r

  sin(T) = (t/r)sin(R) = (10/20)sin(104°)

  T = arcsin(sin(104°)/2) ≈ 29°

Then angle S is ...

  S = 180° -R -T = 180° -104° -29°

  ∠S = 47°

Answer:

588 loaves

Step-by-step explanation:

First determine how many hours in the 7 days that he works

7 days * 8 hours = 56 hours

Using a ratio

42 loaves          x loaves

-------------- = ----------------

4 hours            56 hours

Using cross products

42* 56 = 4x

Divide by 4

42 *56/4 = x

588 loaves

Answer:   9 is a rational number.

Step-by-step explanation:

it is a Rational number

.

9

.

.

.

.

9514 1404 393

Answer:

  $9072

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  A = MN . . . . . . M = payment = $189. N = number of payments = 48.

  A = $189 × 48 = $9072

The total amount paid is $9072.

Answer:

x = -0.5

y = 2

Step-by-step explanation:

(2(-0.5)+3(2), 4) = (5, 2(2))

(-1 + 6, 4) = (5, 4)

(5, 4) = (5, 4)

Answer:

3, 4, 5

Step-by-step explanation:

so, we need to find all integers for which

23 <= 7x + 2 <= 37

=>

21 <= 7x <= 35

3 <= x <= 5

so, that is correct for x = 3, x = 4 and x = 5.

Answer:

∠AOB + ∠BOC = ∠AOC we will be using this equation

x = 21   this is the value of x

Step-by-step explanation:

Angle AOC = 84

Angle AOB = 3x

Angle BOC = x

it is given that Angle AOC = 84so we just need to add Angle AOB and Angle BOC

now lets make the equation we that we will be using

∠AOB + ∠BOC = ∠AOC

3x + x = 84

4x = 84

x = 84 ÷ 4

x = 21

Step-by-step explanation:

Here, we have,

AOC=84°

AOB=3x

BOC=x

Now, the required equation will be;AOC=AOB+BOC[whole part axiom]

or, 84°=3x+x

or, 84°=4x

or, 84°÷4=x

or, x=21°

Thus, the equation to find the answer is AOC=AOB+BOC and the value of x is 21°.

Answer:

22°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + x + 136° = 180°

2x + 136° = 180° ( subtract 136° from both sides )

2x = 44° ( divide both sides by 2 )

x = 22°

Answer:

8

Step-by-step explanation:

Slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁)

We have two points on the graph, (2, 16) and (6, 48)

Let's say (2, 16) = (x₁, y₁) ( there's no reason why (6, 48) can't be (x₁, y₁), but one of them has to be it) and (6, 48) = (x₂, y₂). Our slope is then

(y₂-y₁)/(x₂-x₁) = (48-16) / (6-2) = 32 / 4 = 8

Answer:

D

Step-by-step explanation:

Goky kwiwiwjwjjwiwjwiw

Answer:

[tex]\sup(S) = 3[/tex].

[tex]\displaystyle \inf(S) = \frac{1}{3}[/tex].

Step-by-step explanation:

When factored, [tex]3\,x^{2} - 10\, x + 3[/tex] is equivalent to [tex](3\, x - 1)\, (x - 3)[/tex].

[tex]3\, x^{2} - 10\, x + 3 < 0[/tex] whenever [tex]\displaystyle x \in \left(\frac{1}{3},\, 3\right)[/tex].

Typically, the supremum and infimum of open intervals are the two endpoints. In this question, [tex]\sup(S) = 3[/tex] whereas [tex]\displaystyle \inf(S) = \frac{1}{3}[/tex].

Below is a proof of the claim that [tex]\sup(S) = 3[/tex]. The proof for [tex]\displaystyle \inf(S) = \frac{1}{3}[/tex] is similar.

In simple words, the supremum of a set is the smallest upper bound of that set. (An upper bound of a set is greater than any element of the set.)

It is easy to see that [tex]3[/tex] is an upper bound of [tex]S[/tex]:

To see that [tex]3[/tex] is the smallest upper bound of [tex]S[/tex], assume by contradiction that there exists some [tex]\epsilon > 0[/tex] for which [tex](3 - \epsilon)[/tex] (which is smaller than [tex]3\![/tex]) is also an upper bound of [tex]S\![/tex].

The next step is to show that [tex](3 - \epsilon)[/tex] could not be a lower bound of [tex]S[/tex].

There are two situations to consider:

Either way, it would be necessary to find (or construct) an element [tex]z[/tex] of [tex]S[/tex] such that [tex]z > 3 - \epsilon[/tex].

For the first situation, it would be necessary that [tex]\displaystyle 3 - \epsilon \le \frac{1}{3}[/tex], such that [tex]\displaystyle \epsilon \ge \frac{8}{3}[/tex]. Let [tex]z := 1[/tex] (or any other number between [tex](1/3)[/tex] and [tex]3[/tex].)

With the first situation [tex]\displaystyle \epsilon \ge \frac{8}{3}[/tex] accounted for, the second situation may assume that [tex]\displaystyle 0 < \epsilon < \frac{8}{3}[/tex].

Claim that  [tex]\displaystyle z:= \left(3 - \frac{\epsilon}{2}\right)[/tex] (which is strictly greater than [tex](3 - \epsilon)[/tex]) is also an element of [tex]S[/tex].

Either way, [tex](3 - \epsilon)[/tex] would not be an upper bound of [tex]S[/tex]. Contradiction.

Hence, [tex]3[/tex] is indeed the smallest upper bound of [tex]S[/tex]. By definition, [tex]\sup(S) = 3[/tex].

The proof for [tex]\displaystyle \inf(S) = \frac{1}{3}[/tex] is similar and is omitted because of the character limit.

Answer:

I what you gotta do is this where they say subtract previous temperature from current temperature all you have to do is on that row subtract the temperature written there from the one directly above it that is all I can advise you to do that is what it means also in the other one that says the same thing that's all you have to do nothing more nothing less

Answer:

x = 2

Step-by-step explanation:

x+4=3x

-x     -x

----------

4 = 2x

/2    /2

---------

2 = x